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1345913749422 = 2331131437189269
BaseRepresentation
bin10011100101011110101…
…101011111111110101110
311202200001001011120212000
4103211132231133332232
5134022412404440142
62510145414353130
7166144666052214
oct23453655377656
94680031146760
101345913749422
11479887250750
12198a1b95b7a6
1399bc44072c8
14491dd312cb4
1525024ba914c
hex1395eb5ffae

1345913749422 has 512 divisors, whose sum is σ = 3547348992000. Its totient is φ = 374419584000.

The previous prime is 1345913749417. The next prime is 1345913749441. The reversal of 1345913749422 is 2249473195431.

1345913749422 is a `hidden beast` number, since 1 + 3 + 4 + 591 + 3 + 7 + 4 + 9 + 42 + 2 = 666.

It is a super-2 number, since 2×13459137494222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5003396704 + ... + 5003396972.

It is an arithmetic number, because the mean of its divisors is an integer number (6928416000).

Almost surely, 21345913749422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345913749422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773674496000).

1345913749422 is an abundant number, since it is smaller than the sum of its proper divisors (2201435242578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1345913749422 is a wasteful number, since it uses less digits than its factorization.

1345913749422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

It can be divided in two parts, 13459 and 13749422, that added together give a triangular number (13762881 = T5246).

The spelling of 1345913749422 in words is "one trillion, three hundred forty-five billion, nine hundred thirteen million, seven hundred forty-nine thousand, four hundred twenty-two".